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European Congress on Computational Methods in Applied Sciences and Engineering

ECCOMAS 2019: Multibody Dynamics 2019 pp 215–222Cite as

Dynamic Analysis of Compliant Mechanisms Using Absolute Nodal Coordinate Formulation and Geometrically Exact Beam Theory

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Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 53))

Abstract

Compliant mechanism mainly relies on large deformations of compliant rods to transmit motions, forces and energy. The geometric nonlinearity of the compliant rods is one of the most serious challenges when accurate modeling and dynamic simulation are performed. The absolute nodal coordinate formulation (ANCF) and geometrically exact beam theory (GEBT) are employed to investigate the nonlinear modeling and analysis of compliant mechanisms in this paper. By taking account of deformation characteristics of the compliant rod at the external connection, a new ANCF beam element with one nodal deformation constraint is proposed. Based on the locking alleviation technique, strain split method, the effect of the locking phenomenon of the ANCF beam element on the dynamic simulation of compliant mechanism is investigated. In comparison, the Euler-Bernoulli beam element, which is a kind of locking free GEBT element, is also used for the dynamic analysis of the compliant mechanism. Finally, the numerical example of a partial compliant four-bar mechanism is presented to illustrate the accuracy and effectiveness of ANCF and GEBT beam elements for the dynamic problems of compliant mechanisms.

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Acknowledgments

This research was supported by the financial support of the National Natural Science Foundation of China (Grants no. 11602228).

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Authors and Affiliations

  1. Henan Key Laboratory of Intelligent Manufacturing of Mechanical Equipment, Zhengzhou University of Light Industry Zhengzhou, Henan, China

    Zhigang Zhang, Xiang Zhou & Zhanpeng Fang

Authors
  1. Zhigang Zhang
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  2. Xiang Zhou
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  3. Zhanpeng Fang
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Corresponding author

Correspondence to Zhigang Zhang .

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Editors and Affiliations

  1. Lehrstuhl für Mechanik und Robotik, Universität Duisburg-Essen, Duisburg, Nordrhein-Westfalen, Germany

    Andrés Kecskeméthy

  2. Lehrstuhl für Mechanik und Robotik, Universität Duisburg-Essen, Duisburg, Nordrhein-Westfalen, Germany

    Francisco Geu Flores

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Zhang, Z., Zhou, X., Fang, Z. (2020). Dynamic Analysis of Compliant Mechanisms Using Absolute Nodal Coordinate Formulation and Geometrically Exact Beam Theory. In: Kecskeméthy, A., Geu Flores, F. (eds) Multibody Dynamics 2019. ECCOMAS 2019. Computational Methods in Applied Sciences, vol 53. Springer, Cham. https://doi.org/10.1007/978-3-030-23132-3_26

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  • DOI: https://doi.org/10.1007/978-3-030-23132-3_26

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-23131-6

  • Online ISBN: 978-3-030-23132-3

  • eBook Packages: EngineeringEngineering (R0)

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